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Finding the Fourth Proportional to 353,184, 529,719.12 and 96,956.76

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Solution

The fourth proportional to 353,184, 529,719.12 and 96,956.76 is: 145,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,184 : 529,719.12 = 96,956.76 : x
  2. Step 2: Convert to fraction form
    353,184/529,719.12 = 96,956.76/x
  3. Step 3: Cross multiply
    353,184x = 529,719.12 × 96,956.76
  4. Step 4: Simplify right side
    353,184x = 51,359,849,585.25
  5. Step 5: Solve for x
    x = 51,359,849,585.25/353,184
  6. Step 6: Final answer
    x = 145,419.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.